Greatest Common Factor of 92/810, 72/578, 157/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/810, 72/578, 157/285

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 92/810,72/578,157/285

Given fractions are 92/810,72/578,157/285

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 92,72,157

Greatest Common Factor of Numerators i.e. GCF of 92,72,157 is 1 .

LCM of Denominators means LCM of 810,578,285 as per the given fractions.

LCM of 810,578,285 is 4447710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,72,157

GCF of Fractions 92/810,72/578,157/285 is 1/4447710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 92,72,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,72,157 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 92,72,157 . The biggest common factor number is the GCF number.
So the greatest common factor 92,72,157 is 1.

Lets's calculate LCM of 810,578,285

2 810, 578, 285
3 405, 289, 285
5 135, 289, 95
27, 289, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 x 289 x 19 = 4447710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4447710

Therefore, the GCF of Fractions 92/810,72/578,157/285 is 1/4447710

Least Common Multiple of 810,578,285 with GCF Formula

Least Common Multiple of 810,578,285 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 810,578,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,578,285) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(810,578,285) x common factors =1 x 30 = 30

LCM(810,578,285) = ( 810 × 578 × 285 ) / 30

LCM(810,578,285) = 133431300 / 30

LCM(810,578,285) = 4447710


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 92/810, 72/578, 157/285

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 92/810, 72/578, 157/285?

Answer: GCF of Numerators as per given numbers 92/810, 72/578, 157/285 is

GCF of Numerators i.e. for 92,72,157 is 1

LCM of denominators i.e. for 810,578,285 is 4447710.

Thus, GCF of Fractions is 1/4447710.Finally, GCF of Fractions for 92/810, 72/578, 157/285 is 1/4447710.